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Finding the Fourth Proportional to 787.26, 1,086.39 and 433.15

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Solution

The fourth proportional to 787.26, 1,086.39 and 433.15 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,086.39 = 433.15 : x
  2. Step 2: Convert to fraction form
    787.26/1,086.39 = 433.15/x
  3. Step 3: Cross multiply
    787.26x = 1,086.39 × 433.15
  4. Step 4: Simplify right side
    787.26x = 470,569.83
  5. Step 5: Solve for x
    x = 470,569.83/787.26
  6. Step 6: Final answer
    x = 597.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.